(a) Notice for School Notice Board
This is to inform all the students that our school has recently constructed a Science Park, equipped with state-of-the-art scientific apparatus and models to enhance learning through practical demonstrations. The park will be inaugurated on 20th January 2025 at 10:00 AM in the school premises.
All students are cordially invited to attend the inauguration ceremony and explore the facilities available. For further information, contact the undersigned.
Rashi Kapoor
President, Science Club

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?